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Finding the Third Proportional to 186,971 and 405,487

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Solution

The third proportional to 186,971 and 405,487 is: 879,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,971 : 405,487 = 405,487 : x
  2. Step 2: Convert to fraction form
    186,971/405,487 = 405,487/x
  3. Step 3: Cross multiply
    186,971x = 405,487 × 405,487
  4. Step 4: Simplify right side
    186,971x = 164,419,707,169
  5. Step 5: Solve for x
    x = 164,419,707,169/186,971
  6. Step 6: Final answer
    x = 879,386.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.